Author:
Chen Y.-Y.,Hsiao R.-J.,Huang M.-C.
Abstract
AbstractA new methodology via using an adaptive fuzzy algorithm to obtain solutions of “Two-dimensional Navier-Stokes equations” (2-D NSE) is presented in this investigation. The design objective is to find two fuzzy solutions to satisfy precisely the 2-D NSE frequently encountered in practical applications. In this study, a rough fuzzy solution is formulated with adjustable parameters firstly, and then, a set of adaptive laws for optimally tuning the free parameters in the consequent parts of the proposed fuzzy solutions are derived from minimizing an error cost function which is the square summation of approximation errors of boundary conditions, continuum equation and Navier-Stokes equations. In addition, elegant approximated error bounds between the exact solution and the proposed fuzzy solution with respect to the number of fuzzy rules and solution errors have also been proven. Furthermore, the error equations in mesh points can be proven to converge to zero for the 2-D NSE with two sufficient conditions.
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Mechanical Engineering,Condensed Matter Physics
Reference13 articles.
1. Stabilized Finite Element Method for Vorticity Velocity Pressure Formulation of the Stationary Navier-Stokes Equations;Li;IEEE, Computational and Information Sciences Conference,2010
2. Global solutions to one-dimensional compressible Navier–Stokes–Poisson equations with density-dependent viscosity
3. Higher Order Accurate and High-Resolution Implicit Up wind Finite Volume Scheme for Solving Euler/Reynolds-Averaged Navier Stokes Equations;Wang;IEEE, Tsinghua Science and Technology,2000
4. Modeling and Simulation of an AUV Simulator With Guidance System
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